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Charra [1.4K]
3 years ago
7

Sky invests $90,000 today and receives a future value 8 years from now of $120,000. Interest is compounded twice per year. Her s

tated annual interest rate is _____ for this twice-a-year compounded investment.
Business
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

Annual interest rate= 3.63%

Explanation:

<em>The rate of return earned on the investment can be worked out using the Future value of a lump sum formula. </em>

<em>The future value of a lump sum is the amount lump would amount to if interest is earned and compounded at a certain interest rate. </em>

The formula is

FV = PV × (1+r)^(n)  

PV = Present Value- 90,000

FV - Future Value, - 120,000

n- number of period- 8× 2 = 16 (note interest is compounded twice a year)

r- interest rate per period - ?

120,000 = 90,000× (1+r)^16

1+r)^16= 120.000/90,000= 1.333

(1+r)^16= 1.333

1+r= 1.333^(1/16)

r =1.333^(1/16) -1  = 0.01812

r =0.01812× 100= 1.812%

Bi-annual interest rate = 1.812%

Annual interest rate = Bi-annual rate × 2

Annual interest rate = 1.812% × 2 =3.63%

Annual interest rate= 3.63%

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Explanation:

Note: This question is not complete as some figures are omitted. The full question is therefore presented first before answering the question as follows:

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Which of the following correctly describes the immediate effect of this transaction on the money​ supply?

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E. None of the above.

The explanation to the answer is now provided as follows:

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Open market operations (OMO) is a monetary policy strategy in which the central bank such as the Federal Reserve sells or purchases government securities in order to implement a particular monetary policy.

When the central bank sells government securities on the open market, it aims to reduce the money supply by the worth of the securities. This is called a contractionary monetary policy.

On the other hand, when the central bank purchases government securities on the open market, it aims to increase the money supply by the worh of the government securities. This is called an expansionary monetary policy.

From the question, the sale of ​$150,000 worth of U.S. government securities from a bond​ dealer is a contractionary monetary policy and it will reduce the money supply by exactly $150,000.

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Answer and Explanation:

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Are reasons for using taxpayers dollars to subsidize all these levels of education.

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